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Finding the Fourth Proportional to 283,572.26, 391,357.30 and 211,827.73

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Solution

The fourth proportional to 283,572.26, 391,357.30 and 211,827.73 is: 292,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,572.26 : 391,357.30 = 211,827.73 : x
  2. Step 2: Convert to fraction form
    283,572.26/391,357.30 = 211,827.73/x
  3. Step 3: Cross multiply
    283,572.26x = 391,357.30 × 211,827.73
  4. Step 4: Simplify right side
    283,572.26x = 82,900,328,477.93
  5. Step 5: Solve for x
    x = 82,900,328,477.93/283,572.26
  6. Step 6: Final answer
    x = 292,342.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.